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Finding the Fourth Proportional to 963.64, 1,329.24 and 614.53

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Solution

The fourth proportional to 963.64, 1,329.24 and 614.53 is: 847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.64 : 1,329.24 = 614.53 : x
  2. Step 2: Convert to fraction form
    963.64/1,329.24 = 614.53/x
  3. Step 3: Cross multiply
    963.64x = 1,329.24 × 614.53
  4. Step 4: Simplify right side
    963.64x = 816,857.86
  5. Step 5: Solve for x
    x = 816,857.86/963.64
  6. Step 6: Final answer
    x = 847.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.